Question A man throws a ball into the air with a velocity of 96 ft/s. Use the formula h = -16t2 + vot to determine when the height of the ball will be 48 feet. Round to the nearest tenth. Provide your answer below: The ball will be at 48 feet at seconds and at seconds.

Q: The formula for an exponential function is y=56*1.08^t , where t is measured in months. This means…

A: Use change in percentage

Q: Bobby is working in a lab testing bacteria populations. After starting out with a population of 266…

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Q: 15 10 -5

A: Finding equation and using midpoint mrthod .

Q: The​ half-life of a certain tranquilizer in the bloodstream is 37 hours. How long will it take for…

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Q: 25. For the equation log;(625x) = 25, the solution is x = 5P. The value of P is

A: We will solve the following

Q: Solve the exponential equation 8(46−2x) + 13 = 41 algebraically. Approximate the result to three…

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Q: Solve the exponential equation. Round to 3 decimal places. 17. 52x-6 = 34 18. 2e3x-9 = 11

A: 17 Given equation is 52x−6=34. We have to solve the given equation for x. Add 6 both sides and…

Q: A bacteria doubles every 8 hours.The biologist has 139 bacteria now.How many will there be in 42…

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Q: The value of an investment is increasing exponentially. In year one the investment was 1500 and this…

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Q: e if this is linear, quadratic, or exponential?

A: It is graph of parabola.

Q: The homework problem says to solve the exponential equation algebraically, which im having trouble…

A: Consider the equation,

Q: To qualify for the interest-free loan, she must make monthly payments of $150 into an account that…

A: An exponential equation is an equation which consists the variable in powers. Like: 2x=4, in this…

Q: The exponential form of z=(−3/2)√3−(3/2)i is?

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Q: Stan invests $8,500 at age 16. He hopes the investment will be $12,500 when he turns 22. If the…

A: Here is the solution.

Q: The amount of money in an account grows exponentially according to the function A(t)=A0ekt. If the…

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Q: Find a formula for the exponential function passing through 2 the points (-1,=) and (1,10) y =

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Q: Find the equation of the exponential function, in y=a(b)x form that passes through the points (3, 8)…

A: Solution: The objective is to find the equation of the exponential function

Q: 2. At the start of the experiment, there are 400 bacteria. If the bacteria follow an exponential…

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Q: A scientist discovered a new material that expands at an extremely fast rate. After studying this…

A: Given problem:- A scientist discovered a new material that expands at an extremely fast rate. After…

Q: The homeowrk question says to solve the exponential equation algebraically, which im having touble…

A: Consider the given equation

Q: 3 Find the exponential equation whose graph passes through the points (-2, 16 y = -) and (3,192)

A: We have to find the exponential equation of graph.

Q: 3) Choose Yes if the equation is an exponential equation and No if it is not. y = 4x* O Yes No

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Q: Few items exist in the world that can appreciate in value like a rare diamond. The estimated value…

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Q: Bellville is growing at 1.8%.  How many years will it take for Bellville to double its living…

A: Let, the current standard of Bellville is P The growth rate is 1.8% Let after t years, the living…

Q: A fruit fly population of 24 flies is in a closed container. The number of flies grows…

A: Given that initial population of flies is 24. it reaches 384 in 18 days growth is exponentially, so…

Q: Use like bases to solve the exponential equation. 8· 24x = 4 X =

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Q: A biologist is studying the growth of a bacteria. Initially the number of colonies of bacteria is…

A: Consider the given model. Pt=11+be-kt Initially, the number of colonies of bacteria is 200.…

Q: Solve the exponential equation algebraically. Approximate the result to three decimal places. 2x-5 =…

A: Given data:- 2x-5 = 16

Q: A turkey is pulled from the oven when the internal temperature is 165° Fahrenheit, and is allowed to…

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Q: Use like bases to solve the exponential equation. 8-4v - 3 = 8-V V =

A: If am=anthenm=n

Q: how do i use like bases to solve the exponential equation? step by step please

A: Consider the given equation.

Q: e8x = 75 Solve the exponential equation algebraically. Approximate the result to three decimal…

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Q: ong will it take my money to quadruple if it is invested at 8.9% c

A: compounded continuously means interest is applied to the principal as well as all interest other…

Q: If you were asked to find an exponential model y = A6 that passes through the two points (3, 6.2)…

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Q: how do i solve this exponential equations ? step by step please.

A: Solve the exponential equation

Q: A native wolf species has been reintroduced into a national forest. Originally 200 wolves were…

A: Given: A native wolf species has been reintroduced into a national forest. Originally 200 wolves…

Q: solve the exponential equation by using the property that b^x= b^y implies x=y, for b>0 and b≠1.…

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Q: A biologist observed a population of bacteria that grew at a rate expressed by the exponential…

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Q: Solve the exponential equation e* = x² - 3 graphically:

A: Let us consider the equation f(x)=g(x) To solve the equation using graphical method  Draw the graph…

Q: The population of some native bees is declining at a rate of 6% per year. If there are 15 300 bees…

A: Given- The rate of declining =6%, intial bees in the hive = 15,300. To Find- The number of bees in…

Q: Amy has two options. She can invest $4000 at an annual rate of 6% compounded semiannually for 20…

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Q: When rabbits were first introduced to australia last century, they had no natural enemies so their…

A: Given,           When rabbits were first introduced to australia last century, they had no natural…

Q: Suppose we start with a bacterial colony of 200 E. coli cells growing exponentially. After 90…

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Q: Use like bases to solve the exponential equation. 3-5v-4 = 3-v

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Q: Solve the problem. 6) James wants to invest $8,000. He can invest the money at 7.2% simple interest…

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Q: 11. Solve the equation logs (3x + 9) = log5(5x – 3)?

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Q: What is the same for all exponential equations of the form y = B* if : %3D A) the value of B is…

A: Given exponential equations of the form y=Bx.

Q: A radioactive substance is decaying according to the formula y = Be-0.02t , where y mg is the amount…

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Optimization

Optimization comes from the same root as "optimal". "Optimal" means the highest. When you do the optimization process, that is when you are "making it best" to maximize everything and to achieve optimal results, a set of parameters is the base for the selection of the best element for a given system.

Integration

Integration means to sum the things. In mathematics, it is the branch of Calculus which is used to find the area under the curve. The operation subtraction is the inverse of addition, division is the inverse of multiplication. In the same way, integration and differentiation are inverse operators. Differential equations give a relation between a function and its derivative.

Application of Integration

In mathematics, the process of integration is used to compute complex area related problems. With the application of integration, solving area related problems, whether they are a curve, or a curve between lines, can be done easily.

Volume

In mathematics, we describe the term volume as a quantity that can express the total space that an object occupies at any point in time. Usually, volumes can only be calculated for 3-dimensional objects. By 3-dimensional or 3D objects, we mean objects that have length, breadth, and height (or depth).

Area

Area refers to the amount of space a figure encloses and the number of square units that cover a shape. It is two-dimensional and is measured in square units.